It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 125 801 is not a prime number.
For example, 125 801 can be divided by 13: 125 801 / 13 = 9 677.
For 125 801 to be a prime number, it would have been required that 125 801 has only two divisors, i.e., itself and 1.
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125 801 is an odd number, because it is not evenly divisible by 2.
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A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 125 801 is about 354.684.
Thus, the square root of 125 801 is not an integer, and therefore 125 801 is not a square number.
The square of a number (here 125 801) is the result of the product of this number (125 801) by itself (i.e., 125 801 × 125 801); the square of 125 801 is sometimes called "raising 125 801 to the power 2", or "125 801 squared".
The square of 125 801 is 15 825 891 601 because 125 801 × 125 801 = 125 8012 = 15 825 891 601.
As a consequence, 125 801 is the square root of 15 825 891 601.
The multiples of 125 801 are all integers evenly divisible by 125 801, that is all numbers such that the remainder of the division by 125 801 is zero. There are infinitely many multiples of 125 801. The smallest multiples of 125 801 are: